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What is the Least Common Multiple of 84472 and 84491?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 84472 and 84491 is 7137123752.

LCM(84472,84491) = 7137123752

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Least Common Multiple of 84472 and 84491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84472 and 84491, than apply into the LCM equation.

GCF(84472,84491) = 1
LCM(84472,84491) = ( 84472 × 84491) / 1
LCM(84472,84491) = 7137123752 / 1
LCM(84472,84491) = 7137123752

Least Common Multiple (LCM) of 84472 and 84491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84472 and 84491. First we will calculate the prime factors of 84472 and 84491.

Prime Factorization of 84472

Prime factors of 84472 are 2, 10559. Prime factorization of 84472 in exponential form is:

84472 = 23 × 105591

Prime Factorization of 84491

Prime factors of 84491 are 11, 7681. Prime factorization of 84491 in exponential form is:

84491 = 111 × 76811

Now multiplying the highest exponent prime factors to calculate the LCM of 84472 and 84491.

LCM(84472,84491) = 23 × 105591 × 111 × 76811
LCM(84472,84491) = 7137123752